Geometry / CONCEPT
Smooth raw cosine versus singular clipped angle
The raw scalar cosine branch is smooth while its clipped angle has an endpoint cusp.
Closed
DIRECT PREREQUISITES1
DIRECT CONSEQUENCES0
PROOF DEPTH4
DOCUMENT LINKS0
Exact raw cosine on the length slice
RELATIONSHIP ATLAS
Every connection, in context.
Direct recorded relationships
Proof dependencyStructural affinityDocument link
Certified topology / UPSTREAM
Prerequisites
Certified topology / DOWNSTREAM
Consequences
None recorded in this release.
RELATED KNOWLEDGE
Structural connections
- A square-root cusp in the scalar extension anglestructural-affinity · Closed
- Actual flat face componentsstructural-affinity · Closed
- Critical edge incidence marginsstructural-affinity · Closed
- Critical opposite floors and a mixed six-valent starstructural-affinity · Closed
- Flat pi graph and actual face componentsstructural-affinity · Closed
- From local angle envelopes to all global curvature facesstructural-affinity · Closed
- Positive generalized lengths and flat sectorsstructural-affinity · Closed
- Two lengths and the sum over actual selected edge positionsstructural-affinity · Closed
Documents & exposition
None recorded in this release.
Other authored & advisory relationships
None recorded in this release.
LIBRARY / RELEASE VERSIONS
Content history
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